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Finding the Fourth Proportional to 399.44, 549.96 and 377.84

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Solution

The fourth proportional to 399.44, 549.96 and 377.84 is: 520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.44 : 549.96 = 377.84 : x
  2. Step 2: Convert to fraction form
    399.44/549.96 = 377.84/x
  3. Step 3: Cross multiply
    399.44x = 549.96 × 377.84
  4. Step 4: Simplify right side
    399.44x = 207,796.89
  5. Step 5: Solve for x
    x = 207,796.89/399.44
  6. Step 6: Final answer
    x = 520.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.